Hi, im currently revising for a resit exam and having difficulty getting my head around the Inverse Power Method. Below is the question:

Apply inverse power method with p=0 to matrix

4 2 -2
2 8 -2
-2 -2 4

Carry out one iteration assuming

4 2 -2 [1 0 0] [4 2 -2]
2 8 -2 = [0.5 1 0] [0 7 -1]
-2 -2 4 [-0.5 -0.143 1] [0 0 2.86]

I believe you use forward and back substitution but can some one solve it for me so i know what you do.

Greatly appreciated thanks.